title crack extension in hydraulic fracturing of shale

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Title Crack Extension in Hydraulic Fracturing of Shale Cores Using Viscous Oil, Water, and Liquid Carbon Dioxide Author(s) Bennour, Ziad; Ishida, Tsuyoshi; Nagaya, Yuya; Chen, Youqing; Nara, Yoshitaka; Chen, Qu; Sekine, Kotaro; Nagano, Yu Citation Rock Mechanics and Rock Engineering (2015), 48(4): 1463- 1473 Issue Date 2015-06-12 URL http://hdl.handle.net/2433/201552 Right The final publication is available at Springer via http://dx.doi.org/10.1007/s00603-015-0774-2.; The full-text file will be made open to the public on 12 June 2016 in accordance with publisher's 'Terms and Conditions for Self- Archiving'. Type Journal Article Textversion author Kyoto University brought to you by CORE View metadata, citation and similar papers at core.ac.uk provided by Kyoto University Research Information Repository

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Page 1: Title Crack Extension in Hydraulic Fracturing of Shale

Title Crack Extension in Hydraulic Fracturing of Shale Cores UsingViscous Oil, Water, and Liquid Carbon Dioxide

Author(s)Bennour, Ziad; Ishida, Tsuyoshi; Nagaya, Yuya; Chen,Youqing; Nara, Yoshitaka; Chen, Qu; Sekine, Kotaro; Nagano,Yu

Citation Rock Mechanics and Rock Engineering (2015), 48(4): 1463-1473

Issue Date 2015-06-12

URL http://hdl.handle.net/2433/201552

Right

The final publication is available at Springer viahttp://dx.doi.org/10.1007/s00603-015-0774-2.; The full-textfile will be made open to the public on 12 June 2016 inaccordance with publisher's 'Terms and Conditions for Self-Archiving'.

Type Journal Article

Textversion author

Kyoto University

brought to you by COREView metadata, citation and similar papers at core.ac.uk

provided by Kyoto University Research Information Repository

Page 2: Title Crack Extension in Hydraulic Fracturing of Shale

Crack Extension in Hydraulic Fracturing of Shale Cores Using Viscous Oil, Water, and

Liquid Carbon Dioxide.

Ziad Bennour1, Tsuyoshi Ishida*1, Yuya Nagaya1, Youqing Chen2, Yoshitaka Nara1,5, Qu

Chen3, Kotaro Sekine4 and Yu Nagano4

1Department of Civil and Earth Resources Engineering, Graduate School of

Engineering, Kyoto University, Kyoto, Japan

2Department of Energy Science and Technology, Graduate School of Energy Science,

Kyoto University, Kyoto, Japan

33D Geoscience Inc., Tokyo, Japan

4Japan Oil, Gas and Metals National Corporation, Chiba, Japan

5Now he is working for Tottori University, Tottori, Japan

*Corresponding author: Tsuyoshi Ishida

Department of Civil and Earth Resources Engineering, Graduate School of Engineering,

Kyoto University, Kyoto Daigaku Katsura, Nishikyo-ku, Kyoto 615-8540, Japan

E-mail: [email protected]

Tel.: +81 75 383 3209; Fax: +81 75 383 3213

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Abstract

We performed hydraulic fracturing experiments on cylindrical cores of anisotropic

shale obtained by drilling normal to the sedimentary plane. Experiments were

conducted under ambient condition and uniaxial stresses, using 3 types of fracturing

fluid: viscous oil, water, and liquid carbon dioxide (L-CO2). In the experiments using

water and oil, cracks extended along the loading direction normal to the sedimentary

plane under the uniaxial loading and extended along the sedimentary plane without

loading. These results suggest that the direction of crack extension is strongly affected

by in situ stress conditions. Fluorescent microscopy revealed that hydraulic fracturing

with viscous oil produced linear cracks with few branches, whereas that with water

produced cracks with many branches inclining from the loading axis. Statistical analysis

of P-wave polarity of acoustic emission waveforms showed that viscous oil tended to

induce Mode I fracture, whereas both water and L-CO2 tended to induce Mode II

fracture. Crack extension upon injection of L-CO2 was independent of loading condition

unlike extension for the other two fluids. This result seemed attributable to the low

viscosity of L-CO2 and was consistent with previous observations for granite specimens

that low-viscosity fluids like CO2 tend to induce widely extending cracks with many

branches and with Mode II fractures being dominant. These features are more

advantageous for shale gas production than those induced by injection of conventional

slick water.

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Keywords: Anisotropy; Acoustic emissions; Shale; Hydraulic fracturing; Carbon

dioxide; Viscosity

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1. Introduction

Shale gas refers to the natural gas trapped within formations of shale, a fine-

grained sedimentary rock that can be a rich source of petroleum and natural gas.

However, since the low permeability of shale greatly inhibits the flow of gas from

reservoir rocks to production wells, the economic viability of developing shale gas

depends on effective stimulation of reservoirs. Recently, horizontal wells employing a

multistage hydraulic fracturing technique have become the stimulation method of choice

and proved successful in shale gas reservoirs (Arthur et al., 2008).

Hydraulic fracturing is the process of initiation and propagation of cracks by

injection of a fluid at a pressure higher than the failure stress of the rock. The technique

of hydraulic fracturing stress measurements was developed by Hubbert and Willis

(1957). Building on this work, Cleary (1958) presented an early version of hydraulic

fracturing theory and the possibility of fracture control. Since then, many theoretical and

experimental investigations have been conducted (i.e. Zoback et al., 1977; Schmitt and

Zoback, 1989; Haimson and Cornet, 2003).

Underground formations are subjected to complex stress fields and affected by

various geological processes, as described by Amadei and Stephansson (1977) and Zang

and Stephansson (2010). The magnitude and direction of the principal stresses are

important in hydraulic fracturing because they control the amount of pressure required

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to create and propagate a crack, the direction of the crack and the crack shape. The

direction that a crack induced by hydraulic fracturing takes in a rock is also a function

of several variables, including anisotropy of rock strength. Sun et al. (2011) investigated

crack extension during hydraulic fracturing in oil shale and found that the cracks are

elliptical and that cracks extend along different directions due to anisotropic properties

and the in situ stress condition.

Ishida et al. (2004; 2012; 2013) have previously conducted hydraulic fracturing

experiments using carbon dioxide (CO2), water, and viscous oil and found that low

viscosity fluids such as CO2 tend to induce widely extending cracks with many

branches. These cracks should be better suited for producing shale gas because they

have a larger surface area within the shale than those induced by water.

Accordingly, by monitoring acoustic emissions (AE), this study focuses on the

crack growth in shale cores in relation to the effects of stress condition and anisotropy

due to sedimentary planes. This study also examines the effect of the viscosity of

various fracturing fluids (viscous oil, water, and CO2) on the fracture mode and on the

microscopic features of the induced cracks. The results of this study may be beneficial

in industrial energy projects such as extraction of unconventional gas from shale and the

sequestration of greenhouse gases.

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2. Experimental methodology

2.1. Shale cores

Experiments were performed on cylindrical shale cores measuring roughly 170

mm in length and 85 mm in diameter. All samples were retrieved by drilling blocks

obtained from a depth of 275 m below sea level while mining a drift at the Kushiro coal

mine in Hokkaido, Japan. The blocks were sandy shale from Palaeogene Harutori coal

bearing formation. Because sedimentary planes were clearly observed on the surfaces of

the blocks, the drilling direction was selected to be normal to the sedimentary plane.

A hole for hydraulic fracturing with a diameter of 10 mm was drilled in the side of

the core at the vertical midpoint. A Cartesian coordinate system was applied to the

cores: the Z-axis was set along the cylindrical axis and normal to the sedimentary plane,

the X-axis was set along the drilled hole, and the Y-axis was set orthogonal to the other

2 axes, as shown in Fig. 1.

P-wave velocities were measured along the three selected axes for each specimen.

The results of the P-wave velocity measurements clearly show orthogonal anisotropy

due to the sedimentary bedding with the exceptions of those in the cores K-01 and Kc-

12 (Table 1).

2.2. Uniaxial stress conditions

Hydraulic fracturing tests were run at ambient condition and two uniaxial stresses

of 1 and 3 MPa, applied along the Z-axis (σz, normal to the sedimentary plane). Four

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10-mm-long strain gauges were attached to the cores to confirm that loading was

uniformly applied to the cores before testing.

2.3. Fracturing fluid and pressurizing system for hydraulic fracturing

Three types of fluids, namely, viscous oil, water, and liquid carbon dioxide (L-

CO2), were used for hydraulic fracturing. The viscous oil used was automobile

transmission oil (Mahha Super Transmission Oil 75W-90; Fuji Kosan Co. Ltd., Tokyo,

Japan). At the experimental temperature, the viscous oil was 270 times more viscous

than water, whereas the L-CO2 has about 1/10 the viscosity of water.

A packer with a pressurizing section of 30 mm was set in the center along hole.

Fluids were injected at a constant flow rate of 1 ml/min, and injection pressure was

recorded at 0.1 s intervals. A syringe pump with controllable discharge flow rate was

connected to the hole via connecter pipes and used to inject the fluid. A pressure

transducer was placed at a position close to the packer to detect the actual fluid pressure

of the injection.

2.4. AE monitoring system

An array of 16 PICO sensors (Physical Acoustics Corporation), which were

cylindrical, 3 mm in diameter, and 4 mm in length, with a resonance frequency of

around 400 kHz, was used to record AE events. The detected AE signals were amplified

by a total of 84 dB (36 dB in the pre-amplifier and 48 dB in the signal conditioner,

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except in experiments that used L-CO2 as fracturing fluid, where signal conditioner was

set to 24 dB due to a high level of noise), then recorded on a hard disk via an A/D

converter. For each event, the record length and sampling time of the A/D converter

were selected to be 2048 words (each word size of 32 decimal digits) and 0.1 μs,

respectively, with 12-bit resolution. The dead time was set to be 1 ms after recording an

event to prevent the hard disk from recording too much noise due to the vibrations

following a large AE event. Recording of an AE event was triggered when one of the

signals from the 16 sensors exceeded 3 V, and the triggered events usually have more

than a few signals.

The AE events were monitored and recorded during the injection. Later in the

process, the AE hypocenters were located by P-wave arrival time at sensors based on a

least squares method and then compared to the results of visual detection in order to

trace the shape and orientation of cracks induced on the surface of the cores.

Furthermore, the mode of fracturing was examined by the statistical analysis

determining the polarities of P-wave initial motion along their respective AE waveforms

following Zang et al. (1998) and Graham et al. (2010). Then, depending on their

polarity, they were categorized as either compression or dilatation. The number of

compressional initial motions and the number of dilatational were counted for each AE

event. A ratio of the compressional initial motions to the total number of the

compressional and the dilatational initial motions could then be obtained.

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2.5. Microscopic observation of the cracks

Fluorescence microscopy (Nishiyama and Kusuda, 1994) can be used to visualize

cracks and pores in rocks using resin mixed with a fluorescent substance. In the present

study, microscopy was performed on the shale samples fractured by injection of viscous

oil and water.

To prepare samples for observation, the cores were soaked in the resin for about a

week under vacuum and then heat-treated at up to 90°C to solidify the resin. Later, cores

were cut into sections normal to the crack plane extension induced by hydraulic

fracturing and were prepared for observation on a microscope under ultraviolet light.

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3. Results

The experiments conducted on the shale cores by testing each of the three

hydraulic fracturing fluids under an ambient condition and two uniaxial stresses of 1

and 3 MPa. The tests were repeated to confirm the tendency of the results, thus yielding

a total of 12 tests. Table 2 summarizes the test results where the last column shows the

orientation of the induced cracks in relation with the stress conditions and the used

fracturing fluid.

In this section, the results of typical one case for the respective fracturing fluid

and loading conditions are shown. The selection of the typical case was made solely on

the numbers and quality of the located AE sources to compare the observed surface

cracks. The located AE sources are only those were recorded 1 s before to 15 s after the

breakdown.

3.1. Testing observations without loading

In the experiments of the cores K-01 and K-03, water was used as the fracturing

fluid, without loading (0 MPa stress along the Z-axis). Figure 2 shows an example of

pressure profile in the hydraulic fracturing test of K-03, the pressure built-up and

breakdown occurred at 8.62 MPa. In both of the cores, the crack extended horizontally

along a sedimentary plane and was easily traced on the surface of the cores (as in Fig.

3a). The AE events detected by the sensors during the fracturing of the cores were

located three-dimensionally. Figure 3b shows AE sources of the core K-03 projected on

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the horizontal plane (X-Y plane) and the two vertical planes (X-Z and Y-Z planes). AE

sources seen in the vertical planes are distributed in the horizontal direction. These AE

results are consistent with the crack trace on the surfaces of the cores.

When a more viscous liquid than water (viscous oil, K-05) was injected, the

fracture extended horizontally along the sedimentary bedding, the same propagation as

when the fracturing fluid was water. The aperture of the crack induced was noticeably

much larger and clearer (Fig. 4a) when the fracturing fluid was oil than when it was

water. The projection of the AE source location distribution in Y-Z plane supports the

inference of the fracture path from its surface trace (Fig. 4b).

The least viscous fluid (L-CO2) was injected into core Kc-12 under 0 MPa of

stress along the Z-axis, an intense audible acoustic emission occurred at the moment of

breakdown and the fracture extension was not horizontally parallel to the sedimentary

planes. This result is unlike the observations recorded for the other fluids, for example

the cores K-03 and K-05. Here, the crack extended in a complex inclined direction and a

very large aperture that completely split the core was observed on the surface (Fig. 5a).

Accordingly, the distribution of AE sources locations (Fig. 5b) showed that the fracture

extended at deviated direction of 10 to 30° from the vertical, which is consistent with

the clearly traced fracture on the surface.

3.2. Testing observations under uniaxial loading

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In the hydraulic fracturing of cores K-02 and K-04 using water as the fracturing

fluid, under uniaxial loading of 1 and 3 MPa along the Z-axis, the crack observed on the

surface of the cores extended along the loading direction, which was normal to the

sedimentary plane. Fig. 6 shows the case of the core K-04 under 3 MPa loading. The

both of the cores indicate that the fracture extension was in the loading direction.

When the other cores (K-07 and K-09) were tested using oil as the fracturing fluid

under 1 and 3 MPa of stress along the Z-axis, the crack again extended vertically,

normal to the sedimentary plane, the same as when the fracturing fluid was water. Fig.

7 shows the case of the core K-09 under 3 MPa loading. The distribution of the AE

sources shows that the fracture extended in the vertical direction (Z-axis) in both the X-

Z and Y-Z planes, which is consistent with the clearly fracture trace on the surface of the

cores.

The last experiments were conducted by injecting L-CO2 in the cores Kc-01,

Kc-06 and Kc-07 under 3 MPa of stress along the Z-axis. The cracks observed on the

surface of the core Kc-01 extended in two horizontal bedding planes with an inclined

crack connecting them though it was under loading. As for the last 2 cores extended in a

nearly vertical, but slightly inclined direction as shown in Fig. 8 which is the case of the

core Kc-07, unlike in the cores injected with water and oil. The distribution of AE

sources locations in Y-Z plane (as in Fig. 8b) shows also that the fracture extended at

deviated direction from the vertical loading direction.

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3.3. Analysis of mode of fracturing

The effect of the difference in fracturing fluid viscosity on the mode of fracturing

was examined using the cores tested under 3 MPa of uniaxial loading, K-04 (water), K-

09 (oil), and Kc-07 (L-CO2), because the crack extension under loading seemed to be

stable and more clearly affected by fluid viscosity than in the cores without loading, due

to the decreasing effect of the sedimentary planes.

To classify the polarities of the P-wave initial motion arrivals as either

compressional or dilatational, a polarity calibration test was performed by dropping a

steel ball on one side of a steel plate after attaching sensors to the other side. A

compressional wave resulted from the impact and radiated from the point of the impact

to the sensors attached to the opposite side of the plate. Because the upward trace was

recorded in all P-wave initial motion arrivals in this test, the upward trace was

recognized and considered as the compressional motion.

The ratio of the compressional to the total initial motions was obtained for 30

large events each for the viscous oil, water, and L-CO2 injection. The selection of these

events was based on the events having at least 12 out of 16 initial motions on the

sensors. The analysis revealed that the higher ratios at 60–90% for the viscous oil

injection and at 40–60% for both the water and the L-CO2 injections (Fig. 9). The ratio

should be 100% for Mode I fracture (tensile fracture) and should be 50% for Mode II

fracture (in-plane shear fracture). Thus, these results indicate that the injection of

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viscous oil tended to induce Mode I fracture, whereas the injection of water and of L-

CO2 tended to induce Mode II fracture.

3.4. Microscopic examination of cracks

The opening of the crack in the K-05 sample (oil) is somewhat wider than that in

the K-03 sample (water), as can be seen by comparing Figs. 3a and 4a. However, there

is no marked difference in the fractures between the two samples under loading at 0

MPa, which is probably due to the crack extension running along the sedimentary

planes. Comparing the cracks induced under loading at 3 MPa by water and oil, the core

K-04, which was fractured by water, contains more inclined cracks having an angle

from the loading direction in its path than the core K-09 by oil, (Fig. 10). On the

inclined crack surfaces, shear stress develops with the angle, and it becomes the

maximum at the angle of 45 degrees to the loading axis. Thus, the crack feature having

the inclinations in its path more easily causes shear fracture than that of oil, being

consistent with the tendency of fracture mechanism shown in Figure 9.

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4. Discussion

We found the following tendency regarding crack extension from the surface

crack and AE source distribution observations. In the experiments that used water or oil

as the fracturing fluid, cracks tended to extend along the loading direction normal to the

sedimentary plane with uniaxial loading and tended to extend along the sedimentary

plane if tests were run without loading. The elastic theory indicates that a crack extends

in the direction of maximum compressive stress. Thus, the direction of crack extension

under uniaxial loading in the present study is consistent with elastic theory. When there

was no loading, the crack extended along the weakest plane due to the sedimentary

bedding, even though elastic theory indicates that the crack can extend in any direction.

These experimental results suggest that the direction of crack extension is strongly

affected by in situ stress condition and rock-strength anisotropy. Taking these findings to

the field application, if shale strata are horizontally situated and horizontal stress is large,

the cracks induced by hydraulic fracturing will tend to extend horizontally. In contrast,

when vertical stress is large relative to horizontal stress, for example in a shale stratum

at great depth, the cracks will tend to extend vertically, normal to sedimentary planes,

and may extend into a different stratum neighboring the shale.

In the experiments using L-CO2 as a fracturing fluid, crack extension shows an

independency of loading condition and the presence of bedding plane unlike in those

using water and oil. In addition, even when the same conditions of loading applied, the

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crack extension is different among the cores tested by L-CO2. The unstable tendency

independent of the loading condition might be due to the specific properties of L-CO2.

The fracture mode can be identified by examining the polarities of P-wave initial

motions and obtaining a ratio of the compressional initial motions to a total number of

initial motions. The ratio should be 100% for Mode I fracture (tensile fracture) and 50%

for Mode II fracture (in-plane shear fracture). Thus, our results indicate that the viscous

oil injection tends to induce Mode I fracture, whereas both water injection and L-CO2

injection tend to induce Mode II fracture.

In order to quantify the difference caused by different viscosity, a statistical

analysis of the number of branches created by water and oil is carried out. The fractured

samples were cut and the section of 8 mm in length from the injection hole along the

crack path is observed by setting 20 scanning lines of 0.4 mm interval (Fig. 10). By

counting the number of fractures that cross the scanning lines (Fig. 11), the injection of

oil seems to create branches at only few parts of the crack path, while the water

injection creates random number of branches at any point of the crack path. It is

noticeable also that the total number of cracks branches resulted by water injection, 55,

is larger than those resulted by oil injection, 38, although this observation is restricted

only in the section close to the injection hole.

Furthermore, cracks inclining to the loading direction and branching from a main

crack were mainly observed in samples fractured with water. In addition, because shear

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stress develops on an inclined plane with an angle from the loading direction, the

difference in the crack feature is consistent with the AE monitoring results that Mode II

AE events increased with decrease of the fluid viscosity as shown in Figure 9.

The crack extension in L-CO2 appeared to be unstable even under the same stress

condition. This seems be strongly affected by the difference of fracturing mode due to

viscosity of the fracturing fluid, unlike in other fluids, because the viscosity of L-CO2 is

1/10 and 1/2700 that of water and viscous oil, respectively (see Table 2). Since the slick

nature of L-CO2 makes it easily able to fill even the tiniest spaces, crack extension most

likely becomes very sensitive to even small defects in the core. In addition to the low

viscosity, the phase of CO2 changes from liquid to gas corresponding to the pressure

decrease after crack extension. Since the compressibility of the gas is much larger than

that of the liquid, expansion of CO2 gas may help to connect defects inside of a core and

cause the fracture to extend in an inclined direction, and also result a much larger sound

than that in water or oil injection at the moment of fracture. Ishida et al. (2004; 2012;

2013) previously conducted hydraulic fracturing experiments in granite specimens using

carbon dioxide, water, and viscous oil. These studies revealed that low viscosity fluids

like CO2 tend to induce widely extending cracks with many branches and with the

dominant fracture type being Mode II. The experimental results for the shale cores in

the present study seem to be consistent with the tendency observed in granite specimens,

particularly with the tendency that crack extension with Mode II dominant fractures

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during CO2 injection is very sensitive to defects, such as tiny spaces in a core. CO2

fracturing, as opposed to conventional slick water fracturing, can likely induce cracks

with better features for shale gas production, for example, a larger surface area. In

addition, there is a possibility for CO2 to be used for enhance shale gas production and

recovery (Kalantari-Dahaghi 2010), because shale's affinity for CO2 is stronger (about

10 times greater) than the affinity for methane (Nuttall 2006) and displacement of

absorbed methane (shale gas) with CO2 is expected. .

Taken together, these and past findings suggest that CO2 fracturing is a promising

new method for shale gas recovery.

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5. Conclusion

The results of this study are as follows:

(1) Surface crack observations and AE source distributions revealed that cracks

extended along the loading direction normal to the sedimentary plane under uniaxial

loading in the experiments that used water and oil as fracturing fluids. On the other

hand, they extended along the sedimentary plane when tests were run without loading.

These results suggest that the direction of crack extension is strongly affected by in situ

stress condition. However, the L-CO2 fracturing did not show this tendency, which is

probably related to its low viscosity.

(2) The ratio of polarity of P-wave initial motions indicated that injection of viscous oil

tends to induce Mode I fracture and both injection of water and injection of L-CO2 tend

to induce Mode II fracture.

(3) Fluorescence microscopy observation revealed that hydraulic fracturing by viscous

oil injection produces linear cracks with few branches, whereas hydraulic fracturing by

water injection produces cracks with many branches inclining from the loading axis.

This is consistent with the differences in fracture mode based on differences in the

viscosity of the fracturing fluid, as shown above.

(4) The crack extension after fracturing with L-CO2 is unlike those after fracturing with

other fluids, which seems to be due to the low viscosity of L-CO2. This result seems to

be consistent with the tendency observed by researchers of our group in granite

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specimens, where low-viscosity fluids like CO2 tend to induce widely extending cracks

having many branches with Mode II fractures being dominant. This pattern of cracking

presents an advantage for shale gas production by fracturing with L-CO2 over fracturing

with conventional slick water.

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Acknowledgment

The authors wish to acknowledge the kind support of Kushiro Coal Mine Co. Ltd. for

providing the shale blocks that were used to prepare the cores for the experiments.

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Figure captions

Figure 1 Diagram and photograph of the core dimensions and coordinates.

Figure 2 Test profile for shale core K-03 (water) under 0 MPa loading.

Figure 3 (a) Photograph with magnification of observed crack (red box) on the surface

and (b) AE source locations in core K-03 under 0 MPa loading and injection with water.

Figure 4 (a) Photograph with magnification of observed crack (red box) on the surface

and (b) AE source locations in core K-05 under 0 MPa loading and injection with oil.

Figure 5 (a) Photograph of observed crack (red box) on the surface and (b) AE source

locations in core Kc-12 under 0 MPa loading and injection with L-CO2.

Figure 6 (a) Photograph of observed crack (red box) on the surface and (b) AE source

locations in core K-04 under 3 MPa loading and injection with water.

Figure 7 (a) Photograph of observed crack (red box) on the surface and (b) AE source

locations in core K-09 under 3 MPa loading and injection with oil.

Figure 8 (a) Photograph of observed crack (red box) on the surface and (b) AE source

locations in core Kc-07 under 3 MPa loading and injection with L-CO2.

Figure 9 Polarity ratios of compressional initial motions in 30 AE events for each

hydraulic fracturing experiment using viscous oil, water, and L-CO2.

Figure 10 Fluorescence microscopy of the crack shape after (a) injection of water into

core K-04 and (b) injection of oil into core K-09. In the both photos, the cracks

propagated across the sedimentary planes from the injection hole, which is located in

25

Page 27: Title Crack Extension in Hydraulic Fracturing of Shale

the lower end of the photos. The lines of 0.4 mm interval are scanning lines to count

numbers of crack branches shown in Figure 11.

Figure 11 Comparison between the numbers of crack branches made by water and

viscous oil at the same distance.

26

Page 28: Title Crack Extension in Hydraulic Fracturing of Shale

Table captions

Table 1 Anisotropy of P-wave velocity in shale cores

Table 2 Summary of the main experimental results

27

Page 29: Title Crack Extension in Hydraulic Fracturing of Shale

Table 1 Anisotropy of P-wave velocity in shale cores

P-wave velocity (km/s)

Core X Y Z

K-01 3.23 3.11 3.55

K-03 3.12 3.13 2.75

K-04 3.24 3.24 2.92

K-05 3.65 3.36 2.28

K-07 3.00 3.11 2.84 K-09 2.80 3.50 2.87

Kc-01 3.20 3.30 2.90

Kc-06 3.36 3.19 3.10

Kc-07 3.28 3.28 3.01

Kc-12 3.59 3.73 3.82

Table 2 Summary of the main experimental results

Core Loading stress

σz (MPa) Fracturing fluid

(viscosity, mPa∙s) Injection rate

(ml/min) Breakdown

(MPa)

Located (Detected) AE sources

Fracture orientation

K-01 0.0 water (1) 1.00 5.24 13 (122) Parallel to bedding

K-03 0.0 water (1) 1.00 8.62 32 (72) Parallel to bedding

K-02 1.0 water (1) 1.00 13.08 22 (160) Loading direction

K-04 3.0 water (1) 1.00 16.44 65 (205) Loading direction

K-05 0.0 oil (270) 1.00 9.95 26 (91) Parallel to bedding

K-07 1.0 oil (270) 1.00 8.86 62 (244) Loading direction

K-09 3.0 oil (270) 1.00 8.86 39 (319) Loading direction

Kc-01 3.0 L-CO2 (0.10) 1.00 6.91 36 (336) Different direction

Kc-06 3.0 L-CO2 (0.10) 1.00 6.81 0 (41) Different direction

Kc-07 3.0 L-CO2 (0.10) 1.00 6.08 42 (169) Different direction

Kc-12 0.0 L-CO2 (0.10) 1.00 8.12 55 (245) Different direction

28

Page 30: Title Crack Extension in Hydraulic Fracturing of Shale

Figure 1 Diagram and photograph of the core dimensions and coordinates.

170

mm

85 mm

Y

Hole for injection

Z

Sedimentary planes

σz

X

Page 31: Title Crack Extension in Hydraulic Fracturing of Shale

Figure 2 Test profile for shale core K-03 (water) under 0 MPa loading.

Time (s)

Breakdown pressure 8.62 MPa

Pum

p pr

essu

re (M

Pa)

AE

cou

nt (1

/s)

AE

Fluid pressure

Page 32: Title Crack Extension in Hydraulic Fracturing of Shale

Figure 3 (a) Photograph with magnification of observed crack (red box) on the surface and (b) AE source locations in core K-03 under 0 MPa loading and injection with water.

a b

Page 33: Title Crack Extension in Hydraulic Fracturing of Shale

Figure 4 (a) Photograph with magnification of observed crack (red box) on the surface and (b) AE source locations in core K-05 under 0 MPa loading and injection with oil.

a b

Page 34: Title Crack Extension in Hydraulic Fracturing of Shale

Figure 5 (a) Photograph of observed crack (red box) on the surface and (b) AE source locations in core Kc-12 under 0 MPa loading

and injection with L-CO2.

a b

Page 35: Title Crack Extension in Hydraulic Fracturing of Shale

Figure 6 (a) Photograph of observed crack (red box) on the surface and (b) AE source locations in core K-04 under 3 MPa loading and

injection with water.

a b

Page 36: Title Crack Extension in Hydraulic Fracturing of Shale

Figure 7 (a) Photograph of observed crack (red box) on the surface and (b) AE source locations in core K-09 under 3 MPa loading and

injection with oil.

a b

Page 37: Title Crack Extension in Hydraulic Fracturing of Shale

Figure 8 (a) Photograph of observed crack (red box) on the surface and (b) AE source locations in core Kc-07 under 3 MPa loading

and injection with L-CO2.

a b

Page 38: Title Crack Extension in Hydraulic Fracturing of Shale

Figure 9 Polarity ratios of compressional initial motions in 30 AE events for each hydraulic fracturing experiment using viscous oil,

water, and L-CO2.

Num

ber

of A

E e

vent

s

Ratio of the compressional motions to the total initial motions in an event

Water L-CO2

Oil

1-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90 90-100

Page 39: Title Crack Extension in Hydraulic Fracturing of Shale

Inclined cracks

b a σz σz

Direction of crack propagation

The injection hole

0.4 mm

8.0 mm

7.6 mm

7.2 mm

6.8 mm

6.4 mm

6.0 mm

5.6 mm

5.2 mm

4.8 mm

4.4 mm

4.0 mm

3.6 mm

3.2 mm

2.8 mm

2.4 mm

2.0 mm

1.6 mm

1.2 mm

0.8 mm

0.0 mm

Figure 10 Fluorescence microscopy of the crack shape after (a) injection of water into core K-04 and (b) injection of oil into core K-09. In the both photos, the cracks propagated across the sedimentary planes from the fracturing hole, which is located in the lower end of the photos. The lines of 0.4 mm interval are scanning lines to count numbers of crack branches shown in Figure 11.

Page 40: Title Crack Extension in Hydraulic Fracturing of Shale

Figure 11 Comparison between the numbers of crack branches made by water and viscous oil at the same distance.

Num

ber

of b

ranc

hes

0.0 0.4 0.8 1.2 1.6 2.0 2.4 2.8 3.2 3.6 4.0 4.4 4.8 5.2 5.6 6.0 6.4 6.8 7.2 7.6 8.0

Distance from the tip of the injection hole to the edge of the core (mm)

Water Oil

6

5

4

3

2

1